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0. Review of Algebra(0)

Algebraic Expressions
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Exponents
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Polynomials Intro
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Multiplying Polynomials
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Factoring Polynomials
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Radical Expressions
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Simplifying Radical Expressions
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Rationalize Denominator
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Rational Exponents
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1. Equations & Inequalities(0)

Linear Equations
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Rational Equations
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The Imaginary Unit
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Powers of i
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Complex Numbers
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Intro to Quadratic Equations
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The Square Root Property
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Completing the Square
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The Quadratic Formula
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Choosing a Method to Solve Quadratics
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Linear Inequalities
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2. Graphs of Equations(0)

Graphs and Coordinates
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Two-Variable Equations
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Lines
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3. Functions(0)

Intro to Functions & Their Graphs
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Common Functions
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Transformations
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Function Operations
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Function Composition
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4. Polynomial Functions(0)

Quadratic Functions
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Understanding Polynomial Functions
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Graphing Polynomial Functions
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Dividing Polynomials
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Zeros of Polynomial Functions
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5. Rational Functions(0)

Introduction to Rational Functions
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Asymptotes
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Graphing Rational Functions
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6. Exponential & Logarithmic Functions(0)

Introduction to Exponential Functions
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Graphing Exponential Functions
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The Number e
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Introduction to Logarithms
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Graphing Logarithmic Functions
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Properties of Logarithms
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Solving Exponential and Logarithmic Equations
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7. Systems of Equations & Matrices(0)

Two Variable Systems of Linear Equations
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Introduction to Matrices
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Determinants and Cramer's Rule
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Graphing Systems of Inequalities
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8. Conic Sections(0)

Introduction to Conic Sections
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Circles
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Ellipses: Standard Form
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Parabolas
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Hyperbolas at the Origin
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Hyperbolas NOT at the Origin
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9. Sequences, Series, & Induction(0)

Sequences
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Arithmetic Sequences
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Geometric Sequences
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10. Combinatorics & Probability(0)

Factorials
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Combinatorics
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Probability
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8. Conic Sections

Ellipses: Standard Form

8. Conic Sections

Ellipses: Standard Form: 동영상 및 연습문제

비디오 강의 실무 워크시트

43 문제점

연습하고 싶은 문제 유형:

문제 1객관식

Work out the standard form of the ellipse equation, given the following conditions.

Vertices: (0, - 9) and (0, 9)

Passes through the point: (12, 3)

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문제 2객관식

Without completing the square, determine the given equation.

25x² +4y² +150x - 8y +129 = 0

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문제 3객관식

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Major axis vertical length = 14; length of minor axis = 6; center: (-1, 2)

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문제 4객관식

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Major axis horizontal length = 22; length of minor axis = 18; center: (0, 0)

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문제 5객관식

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Foci: (-5, 0), (5, 0); y-intercepts: -6 and 6

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문제 6객관식

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Foci: (0, -2), (0, 2); vertices: (0, −8), (0, 8)

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문제 7객관식

Find the equation of the ellipse with the following properties. Express your answer in standard form.

Foci: (-3, 0), (3, 0); vertices: (-6, 0), (6,0)

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문제 8객관식

An ellipse has a major axis that is vertical with a length of 10. The length of its minor axis is 6 and its center is (2,-4). What is the standard form of its equation?

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문제 9객관식

An ellipse has vertices at (-8,0) and (8,0). Its foci are (-3, 0) and (3, 0). What is the standard form of its equation?

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문제 10객관식

Sketch the graph of the ellipse defined by x²/49 + y²/16 = 1 and determine its foci.

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문제 11객관식

Sketch the graph of the ellipse defined by y²/64 + x²/25 = 1 and determine its foci.

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문제 12객관식

Sketch the graph of the ellipse defined by 4x²+ 25y²+ 24x - 50y - 39 = 0 and determine its foci.

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문제 13객관식

Graph the following ellipse and determine its foci: x²/36 + y²/9 = 1

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문제 14객관식

Graph the following ellipse and determine its foci: x²/4 + y²/64 = 1

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문제 15객관식

Graph the following ellipse and determine its foci: x²/16 + y²/49 = 1

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문제 16객관식

Graph the following ellipse and determine its foci: x²/36 + y²/100 = 1

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문제 17객관식

Graph the following ellipse and determine its foci: x²/(25/4) + y²/(49/4) = 1

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문제 18객관식

Graph the following ellipse and determine its foci: y² = 1 - 16x²

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문제 19객관식

Graph the following ellipse and determine its foci: 196x² + 16y² = 3136

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문제 20객관식

Graph the following ellipse and determine its foci: 25x² + 81y² = 2025

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문제 21객관식

Graph the following ellipse and determine its foci: 10y² = 30 - 3x²

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문제 22객관식

The graph of the ellipse is given below. Find its standard equation and the coordinates of the foci.

Graph of an ellipse with labeled foci at (5,0) and (-5,0) and vertices at (0,3) and (0,-3).

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문제 23객관식

The graph of the ellipse is given below. Find its standard equation and the coordinates of the foci.

Graph of an ellipse with labeled foci and axes, illustrating standard form.

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문제 24객관식

The graph of the ellipse is given below. Find its standard equation and the coordinates of the foci.

Graph of an ellipse with labeled foci and coordinates in a Cartesian plane.